Question

Choose the product.

(3x 2 + 2x - 3)(x - 1)

3 x 3 - x 2 - 5 x + 3
3 x 3 - 5 x 2 - 5 x + 3
3 x 3 + 5 x 2 - 5 x + 3
3 x 2 + 3 x - 4

Answer 1

first option

Explanation:

Given

(3x² + 2x - 3)(x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

3x²(x - 1) + 2x(x - 1) - 3(x - 1) ← distribute parenthesis

= 3x³ - 3x² + 2x² - 2x - 3x + 3 ← collect like terms

= 3x³ - x² - 5x + 3